And after Tur challenged Trump's argument linking violent crime to illegal immigration, he told her she should be better informed.

"Don't be naive. You're a very naive person," he said.

When Tur stumbled while referencing some statistics to bolster her point, Trump mocked her inability to get the question out.

"Try getting it out. Try getting it out. I mean, I don't know if you're going to put this on television. But you don't even know what you're talking about. Try getting it out, go ahead," he said.

Tur then said research shows immigrants commit less crime than US-born citizens. But Trump disputed her numbers and said he was only talking about immigrants who came to the US illegally. He also said Fox News was addressing the topic better than other other news outlets.

"At least Fox is being honest because they're now talking about it big league. And if I didn't bring up the subject a number of weeks ago, we wouldn't even be talking about illegal immigration right now," he said.

At another point in the exchange, Trump mocked his media critics. According to video posted by Mediaite, Trump panned conservative columnist Charles Krauthammer as a "totally overrated person" and touted his own wealth compared to the National Review's Jonah Goldberg.

"You know, it's interesting. I went to the best school, got great marks, everything else. I went out, I made a fortune, a big fortune, a tremendous fortune," he said. "Then I get called [out] by a guy that can't buy a pair of pants? I get called names? Give me a break."

Trump also asked Tur if she would reference some of his supporters instead of just his critics.

"By the way, are you going to mention the ones who do like Trump?" he asked. "But you don't do that, do you?"